GCF of 8374/972, 2242/905
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8374/972, 2242/905 i.e 2/879660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8374/972, 2242/905.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 8374/972,2242/905?
Given fractions are 8374/972,2242/905
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 8374/972,2242/905, numerators are 8374,2242
Denominators are 972,905
The GCF of 8374,2242 is 2 .
LCM of 972,905 is 879660.
The greatest common factor of 8374/972,2242/905 = [GCF of 8374,2242]/[LCM of 972,905]= 2/879660
Therefore, the GCF of 8374/972,2242/905 is 2/879660.
To find the highest common factor of 8374,2242, we have to find the factors of both numbers and list the highest common factor.
The factors of 8374 are 1, 2, 53, 79, 106, 158, 4187, 8374
The factors of 2242 are 1, 2, 19, 38, 59, 118, 1121, 2242
The HCF of 8374,2242 is 2.
Lets's calculate GCF of 8374,2242
| 2 | 8374, 2242 |
| 4187, 1121 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8374,2242 By Matching Biggest Common Factor Method
Now, list down the factors of 8374
:1,2,53,79,106,158,4187,8374
Now, list down the factors of 2242
:1,2,19,38,59,118,1121,2242
Greatest Common Factor
We found the factors 8374,2242 . The biggest common factor number is the GCF number.
So the greatest common factor 8374,2242 is 2.
Lets's calculate LCM of 972,905
Given numbers has no common factors except 1. So, there LCM is their product i.e 879660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/879660
Therefore, the GCF of Fractions 8374/972,2242/905 is 2/879660
Least Common Multiple of 972,905 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 972,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,905) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(972,905) x common factors =1 x 1 = 1
LCM(972,905) = ( 972 × 905 ) / 1
LCM(972,905) = 879660 / 1
LCM(972,905) = 879660
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FAQs on GCF of Fractions of 8374/972, 2242/905
1. What is the HCF of 8374,2242?
The HCF of 8374,2242 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 8374/972, 2242/905?
Answer: GCF of Numerators as per given numbers 8374/972, 2242/905 is
GCF of Numerators i.e. for 8374,2242 is 2
LCM of denominators i.e. for 972,905 is 879660.
Thus, GCF of Fractions is 2/879660.Finally, GCF of Fractions for 8374/972, 2242/905 is 2/879660.